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20101321133 is a prime number
BaseRepresentation
bin10010101110001000…
…011101000110101101
31220212220011220201022
4102232020131012231
5312131414234013
613122345023525
71311062260535
oct225610350655
956786156638
1020101321133
1185857430a3
123a8ba84ba5
131b8469187a
14d8993c4c5
157c9ad2008
hex4ae21d1ad

20101321133 has 2 divisors, whose sum is σ = 20101321134. Its totient is φ = 20101321132.

The previous prime is 20101321117. The next prime is 20101321157. The reversal of 20101321133 is 33112310102.

It is a weak prime.

It can be written as a sum of positive squares in only one way, i.e., 18878210404 + 1223110729 = 137398^2 + 34973^2 .

It is a cyclic number.

It is not a de Polignac number, because 20101321133 - 24 = 20101321117 is a prime.

It is a super-2 number, since 2×201013211332 (a number of 21 digits) contains 22 as substring.

It is a congruent number.

It is not a weakly prime, because it can be changed into another prime (20101321193) by changing a digit.

It is a pernicious number, because its binary representation contains a prime number (17) of ones.

It is a polite number, since it can be written as a sum of consecutive naturals, namely, 10050660566 + 10050660567.

It is an arithmetic number, because the mean of its divisors is an integer number (10050660567).

Almost surely, 220101321133 is an apocalyptic number.

It is an amenable number.

20101321133 is a deficient number, since it is larger than the sum of its proper divisors (1).

20101321133 is an equidigital number, since it uses as much as digits as its factorization.

20101321133 is an odious number, because the sum of its binary digits is odd.

The product of its (nonzero) digits is 108, while the sum is 17.

Adding to 20101321133 its reverse (33112310102), we get a palindrome (53213631235).

The spelling of 20101321133 in words is "twenty billion, one hundred one million, three hundred twenty-one thousand, one hundred thirty-three".